A toy uses a spring to shoot an arrow with a suction cup on the end. The toy shoots a 34.2 g arrow and gives it a speed of 5.50 m/s. If the efficiency of the toy is 69.0%, how much elastic potential energy was stored in the spring? Show all your work.

Answers

Answer 1

Explanation:

When spring is used to shoot an arrow, the Elastic Potential Energy is converted into Kinetic Energy.

The efficiency of Spring Toy = 69%

According to Conservation of Energy :

P. E. = K. E.

NOW,

69% of P. E. = m * v^2 / 2

[tex]P.E. = \frac{0.0342 \times 5.5 \times 5.5}{2 \times 0.69} = 0.75J[/tex]


Related Questions

PLEASE EXPLAIN AND YOU WILL GET BRAINLIST Ms. R is curious if the type of gasoline she uses in her car affects how many miles she can drive on a single tank of gas. (Fuel efficiency). Which of the following would be the BEST scientific question for her to test?

1) How does driving farther affect the type of gas used?

2) How does a Mazda compare to a Civic?


3) How does changing the type of fuel affect the number of miles a car can be driven on a single tank of gas?


4)How does the color of the car affect its internal temperature?

Answers

Option 3 is the most reasonable

I hope this helped <3

Please give brainliest :)

I am primarily made of calcium. I protect and act as camouflage. I can be found as a filler in most household spices. What am I?

Answers

Answer:

Explanation:

Bones?

Bones are primarily made of calcium. Also, they protect the body, which is pretty much obvious. They also act as camouflage.

The only but I have is, can they be found as a filler in most household?

Asides that, bones pretty much fits in to the answer.

In case of parallel plate capacitor, if the place separation is doubled and plate area is halved, the capacitance becomes A)4 times B)one half C)one forth D)zero

Answers

Answer:

C)one forth

Explanation:

  The capacitance of a capacitor is defined as the charge stored per unit potential change.

using the expression for the capacitance

[tex]C= \frac{eA}{d}[/tex]

where e=  electrostatic constant

A = the area of the plate

d = separation distance.

Given the problem statement

1.  If the place separation is doubled

2. plate area is halved.

 effecting the conditions in our expression for the capacitance we have

[tex]C= \frac{e\frac{A}{2} }{2d}\\\\2dC=e\frac{A}{2}[/tex]

cross multiplying we have

[tex]4dC=eA[/tex]

dividing both sides by 4d we have

[tex]C=\frac{eA}{4d}[/tex]

The capacitance is 1/4 the initial value

The capacitance should become C)one forth

The capacitance of a capacitor:

It could be defined by the charge stored per unit with respect to the potential change.

Here the following expression should be used.

[tex]C = eA \div d[/tex]

Here e=  electrostatic constant

A = the area of the plate

d = separation distance.

So in the case when place separation is doubled and plate area is halved

So,

[tex]C = \frac{e\frac{A}{2} }{2d}\\\\2Dc = e\frac{A}{2}\\\\ 4Dc = eA[/tex]

Now if we divide both the sides by 4d so

[tex]C = \frac{eA}{4D}[/tex]

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convert 0.0079 cm to mm

Answers

Answer: 0.079mm

Explanation:

Hope this helps^^

Which statement correctly applies to a spinning mobile that changes its velocity over a period of time?

A. The combination of all forces acting on it is zero.

B. No net force is acting on it.

C. Forces are acting on it.

D. A nonzero net force is acting on it.

Answers

Answer: D

Explanation:

First, we know that the acceleration is defined as the ratio of change of the velocity.

This means that, if we have a change in the velocity, then we also have acceleration.

And by Newton's second law we know that:

F = m*a

Force equals mass times acceleration.

So if we have acceleration different than zero, then we should also have force different than zero.

So we must have a nonzero net force acting on it.

The correct option is D

Hello!

----------

The statement in which correctly applies to a car that changes its velocity over a period of time would be "a nonzero new force is acting on it."

Hope this helps! Also, if you need help with the rest of this assignment, I make a study set on Quizlet that may help you out with the other question. Thanks and good luck!

Quizlet - Unit 6: Lesson 3 Newton's Second Law

h t t p s : / / q u i z l e t . c o m / 7 3 7 7 7 5 3 2 0 / u n i t - 6 - l e s s o n - 3 - n e w t o n s - s e c o n d - l a w - f l a s h - c a r d s / ? n e w

What is the relation between the gravitational force acting between any two bodies object with their masses and the distance between their centres?​

Answers

Answer:

The strength of the gravitational force between two objects depends on two factors, mass and distance. the force of gravity the masses exert on each other. ... increases, the force of gravity decreases. If the distance is doubled, the force of gravity is one-fourth as strong as before.

The escape velocity of a rocket from the earth is 11kms^-1. Taking the acceleration due to gravity as 9.8ms^-2, calculate the radius of the earth.

Answers

Answer:

6.37*10^6 m

Explanation:

We know that,

g = GM/R²

values given to us

acceleration due to gravity = g = 9.8 m/s²

Mass of the earth is= 6.4*10^24

G = 6.67*[tex]10^{-11}[/tex]

implementing

9.8 = 6.67*10^-11 * 6*10^24/R^2

9.8 = 40.02 * 10^13/ R^2

R^2 = 4002/98 * 10^12

R^2 = 40.83* 10^12

R= 6.37*10^6 m   (approximately)

astronauts feel weightlessness, why?​

Answers

Answer:

They are weightless because there is no external contact force pushing or pulling upon their body.

Explanation:

Answer:

nope because the ground created a normal force

Explanation:

Cell theory, the theory of evolution, the theory of relativity, and the big bang theory are all examples of scientific theories. The law of inertia, the law of universal gravitation, the laws of thermodynamics, and the law of independent assortment are all examples of scientific laws. What is the primary difference between scientific theories and scientific laws? A. Scientific theories are often discarded and replaced by completely different theories. B. Scientific laws have been proven without exception under certain stated conditions. C. Scientific laws can change over time as new technology is developed and new data is collected. D. Scientific theories are educated guesses still need to be verified through experimentation.

Answers

Answer:

B

Explanation:

Answer:

B. scientific laws have been proven without exception under certain stated conditions.

Explanation:

A sack is pushed from rest , find the velocity after 6 m while moving at 10 m/s 2

Answers

Answer:

The velocity after 6 m while moving at 10 m/s² ≈ 10.95 m/s

Explanation:

The given parameters are;

The given distance of the sack movement = 6 m

The acceleration, a of the sack = 10 m/s²

The velocity of the is given from the relation;

v² = u² + 2×a×s

Where;

u =The initial velocity = 0

Which gives;

v² = 2×a×s

v² = 2×10×6 - 120

v = √120 = 2·√30 m/s

The velocity after 6 m while moving at 10 m/s² is 2·√30 m/s or approximately equal to 10.95 m/s.

a taller trees has greater chance to fall down than a shorter tree during storm​

Answers

Answer:

Hi! This is true.

Explanation:

During a storm, high winds are persistent. Taller trees have a longer length than short trees, making the structural integrity lesser. Shorter trees are closer to the ground and have a small chance of falling.

Hope this helped!

Several motorboats with the same mass are used in an experiment. The forces of the different motors versus their accelerations are graphed. What is the y-intercept of this graph? (1point) Does anyone know the answer?

Answers

Answer:

C. the velocity

Explanation:

Answer:

1.) As rocket mass increases, acceleration decreases

2.) The inverse of the mass of the boat

3.) Zero

4.) When the velocity increases

5.) It increases

Explanation:

took the test, all were correct

which one is smaller a hectogram, dekagram, kilogram, centigram, or milligrams?

Answers

a kilogram is smaller

Greek engineers had the unenviable task of moving large columns from the quarries to the city. One engineer, Chersiphron, tried several different techniques to do this. One method was to cut pivot holes into the ends of the stone and then use oxen to pull the column. The 4-ft diameter column weighs 13200 lbs, and the team of oxen generates a constant pull force of 1500 lbs on the center of the cylinder G. Knowing that the column starts from rest and rolls without slipping, determine the velocity of its center G after it has moved 5 ft and the minimum static coefficient of friction that will keep it from slipping.

Answers

I believe this should be everything you need:)

The velocity is a vector quantity. The velocity of center G of the column after it has moved 5 ft is 5.18 ft.

From work Energy equation:[tex]U_{12} = T_2[/tex]

First, the potential energy of column,

[tex]U_{12} = \int\limits^5_0 {F} \, dx[/tex]

Here, the column moves from zero and displaces 5 ft.

[tex]F[/tex] - force = 1500 lbs

Thus,

[tex]U_{12 } = 7500\rm \ ft\ lbs[/tex]

Now, total kinetic energy at position 2,

[tex]T_ 2 = \dfrac 12 mv_2^{-2} + \dfrac 12 \vec I \omega_2^2[/tex]

Where,

m  = 372.67 slugs

r = 2 ft

Since,

[tex]\omega_2 = \dfrac {\vec V}{r}[/tex]

So,

[tex]7500 = \dfrac {12000}{2g}v_2^{-2}+\dfrac {12000}{4g}r^2 \times \dfrac {\vec V}{r}\\\\\vec v_2 = 5.18 \rm \ ft[/tex]

Therefore, the velocity of center G of the column after it has moved 5 ft is 5.18 ft.

Learn more about the work Energy equation:

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Describe the process by which a main sequence star turns into a black dwarf.
(draw a flow chart)

Answers

Answer:

A main sequence star that lacks the mass necessary to explode in a supernova so it goes KAbooM and then will become a white dwarf, a 'dead' star that has burned through all of its hydrogen and helium

eventually stop emitting light and heat and become black dwarfs.

The AC voltage source is connected to an inductor and a resistor in series. If the frequency of the source is increased the current in the circuit will _________.

Answers

Answer:

If the frequency of the source is increased the current in the circuit will decrease.

Explanation:

The current through the circuit is given as;

[tex]I = \frac{V}{Z}[/tex]

Where;

V is the voltage in the AC circuit

Z is the impedance

[tex]Z = \sqrt{R^2 + X_L^2}[/tex]

Where;

R is the resistance

[tex]X_L[/tex] is the inductive reactance

[tex]X_L[/tex] = ωL = 2πfL

where;

L is the inductance

f is the frequency of the source

Finally, the current in the circuit is given as;

[tex]I = \frac{V}{\sqrt{R^2 + (2\pi fL)^2} }[/tex]

From the equation above, an increase in frequency (f) will cause a decrease in current (I).

Therefore, If the frequency of the source is increased the current in the circuit will decrease.

If a true heading of 135° results in a ground track of 130° and a true airspeed of 135 knots results in a groundspeed of 140 knots, the wind would be from

Answers

Answer:

245.1° and 13 knots

Explanation:

The given parameters are;

The true heading = 135°

The resultant ground track = 130°

The true airspeed = 135 knots

The ground speed = 140 knots

Given that the true airspeed the ground speed and the wind direction and magnitude form a triangle, we have;

From cosine rule, we have;

a² = b² + c² - 2×b×c×cos(A)

Where

a = The magnitude of the wind speed in knot

b = The true airspeed = 135 knots

c = The ground speed = 140 knots

A = The angle in between the true heading and the resultant ground track heading = 5°

Which gives;

a² = 135² + 140² - 2×135×140×cos(5 degrees) = 168.84 knots²

a = √168.84 = 12.9934 ≈ 13 knots

We have;

135 × sin(135 degrees) - 140× sin(130 degrees) = -11.7868

135 × cos(135 degrees) - 140× cos(130 degrees) = -5.469

Tan(θ) = -11.8/-5.5 = 2.155

θ = tan⁻¹(2.155) = 65.108°

Given that the wind is moving in opposite direction (slowing down the airplane, we add 180°, to get

Therefore, the angle direction = 180 + 65.108 = 245.1

Therefore, we have;

245.1° and 13 knots

A company wants to build a new type of spaceship for transporting astronauts to the moon. What should the company do first?A. Test the prototype.B. Evaluate the design.C. Build a model.D. Identify needs.

Answers

Answer: Identify needs

As a company wants to build a new type of spaceship for transporting astronauts to the moon. The company should identify the needs first. The correct option is D.

What is spaceship?

A spacecraft is a vehicle or machine that is designed to travel through space.

Spacecraft, a type of artificial satellite, are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and human and cargo transportation.

In addition to science instruments, a spacecraft has a number of critical components such as an engine, power subsystem, steering system, and communications system.

The majority of these systems are housed in the service module, while the science instruments are housed in the payload module.

A company wishes to construct a new type of spaceship capable of transporting astronauts to the moon. The company should start by identifying the needs.

Thus, the correct option is D.

For more details regarding spacecraft, visit:

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when a constant force acts upon an object the acceleration of the object varies inversely with its mass. when a certain constant force acts ipon an objec twith mass 21khm the accerlation of the object is 3 m/2^2. If the same force acts upon another object whose mass is 9kg. What would this object's acceleration be?

Answers

Explanation:

When a constant force acts upon an object the acceleration of the object varies inversely with its mass.

[tex]a\propto \dfrac{1}{m}[/tex]

or

[tex]\dfrac{a_1}{a_2}=\dfrac{m_2}{m_1}[/tex]

If m₁ = 21 kg, a₁ = 3 m/s², m₂ = 9 kg

We need to find a₂

So,

[tex]a_2=\dfrac{m_1a_1}{m_2}\\\\a_2=\dfrac{21\times 3}{9}\\\\a_2=7\ m/s^2[/tex]

So, if mass is 9 kg, its acceleration is 7 m/s².

Answer:

A AND B

Explanation:

8. What is the kinetic energy of a car that has a mass of 1000 kg and is moving at a speed of 30 m/s?

Answers

Answer:

Hope it will help you :)

Explanation:

The diagram shows the layers formed when 10 mL each of corn starch, water, and vegetable oil were slowly poured into a glass cylinder. A tall cylinder with 3 layers is shown. The top layer is labeled Oil, the middle layer is labeled Water and the bottom layer is labeled Corn Starch. A paper clip released gently into the liquid settles at the bottom of the cylinder. What best compares the densities of the substances? Oil is denser than the other liquids, and all liquids are denser than the clip. The clip is denser than the three liquids, and water is denser than oil. Oil is denser than water but less dense than the clip. Corn starch is denser than the other liquids and the clip.

Answers

Answer:

The clip is denser than the three liquids, and water is denser than oil.

Explanation:

In this exercise, the Archimedes principle must be used, on the thrust that is equal to the weight of the dislodged liquid

          B = ρ_liquid g V_body

when a body is placed on a liquid, the equilibrium equation must be fulfilled

          W - B = 0  

          W = B

            ρ_body g V_body =  ρ _liquid  g V’

from this expression we see that we have three possibilities

* the density of the body is less than the density of the liquid, therefore the body floats

* The density of the body is equal to the density of the liquid, the body is in equilibrium with the liquid, neither floats nor sinks

* the density of the body greater than that of the liquid, the body sinks.

Based on this, the liquids are arranged in the cylinder according to their density.

           ρ_oil ​​ <  ρ_water  <  ρ_starch

as the clip sinks

the density of the clip is higher than that of liquids

We review the final statements and the correct one is: Clip is denser than liquids and water is denser than oil

Answer:   D

Explanation:

A robin in flight has 20.8 J of PE when it is 27.6 m high. What is the mass of the robin? (Unit = kg)

Answers

Answer:

[tex] \boxed{ \bold{ \purple{0.0769 \: kg \: }}}[/tex]

Explanation:

[tex] \sf{Potential Energy ( P.E ) \: = \: 20.8 \: joule}[/tex]

[tex] \sf{distance \: = 27.6 \: metre}[/tex]

[tex] \sf{mass = }[/tex] ?

[tex] \sf{acceleration \: due \: to \: gravity = 9.68 \: {metre \: per \: second}^{2} }[/tex]

Now, let's find the mass:

[tex] \sf{PE \: = mass \times gravity \: \times \: distance}[/tex]

plug the values

⇒[tex] \sf{20.8 = m \times 9.8 \times 27.6}[/tex]

Multiply the numbers

⇒[tex] \sf{20.8 = 270.48 \: m}[/tex]

Swap the sides of the equation

⇒[tex] \sf{270.48m = 20.8}[/tex]

Divide both sides of the equation by 270.48

⇒[tex] \sf{ \frac{270.48m}{270.48} = \frac{20.8}{270.48} }[/tex]

Calculate

⇒[tex] \sf{0.0769}[/tex] kg

Hope I helped!

Best regards!!

Answer:

[tex]\huge \boxed{\mathrm{0.0769 \ kg}}[/tex]

Explanation:

[tex]\displaystyle \sf Mass=\frac{Potential \ energy}{Acceleration \ of \ gravity \times Height}[/tex]

[tex]\displaystyle m=\frac{PE}{gh}[/tex]

[tex]\mathrm{We \ need \ to \ find \ the \ mass.}[/tex]

[tex]\displaystyle m=\frac{20.8}{9.8 \times 27.6}[/tex]

[tex]m= 0.0769[/tex]

Does anybody have an answer key to the nightmare land lab activity for earth systems?? I need help I dont get it:(

Answers

Answer: the answer key is in the pdf files below

Explanation:

Which career do you think it would be most difficult to break into and why?

Answers

Answer:

Fashion and interior design.

I hope it will help you.

A crowbar having the length of 1.75 m is used to balance a load of 500 N If the distance between the fulcrum and the load is 0.5 calculate MA and VR and efficiency

Answers

load distance*l=effort distance*e

o.5*500=x*1.25

250/1.25=x

200=x

ma=load/effort

500/200

2.5

vr=ed/ld

1.25/0.5

2.5

effciency=ma/vr*100

100%

I NEED HELP WITH 59-61

PLEASE HELP ME!!!!!

60. What value would the acceleration on the object above have now? Does it change anytime during its fall?

Describe the motion of its fall.

61. If there was no air resistance, which object falls faster: an unfolded piece of paper or an anvil?

Answers

Answer:

Explanation:

59 ) Graph has been given in the file attached .

60)  Since the  v- t graph is a straight line so the acceleration is constant . This acceleration does not change with time . It is also called acceleration due to gravity . Its value is 10 m /s²

61 ) If there is no resistance , both the objects will fall together and reach the earth simultaneously if fallen from same height . it is so because each and every object falls under gravity without any obstruction with equal acceleration which is equal to 10 m /s ² .

A student walks 6 meters due east and then walks 10 meters due west from the history room to the reading room. The total distance travelled by the student is. m

Answers

Answer:

16

Explanation:

10+6=16

A ball is pushed down a hill so that it starts with a velocity of 2.0 m/s. It accelerates at a rate of 0.50 m/s2 for the length of the hill, 10.0 m. What is the velocity of the ball at the bottom of the hill?

Answers

Answer:

3.7 m/s

Explanation:

Given:

Δx = 10.0 m

v₀ = 2.0 m/s

a = 0.50 m/s²

Find: v

v² = v₀² + 2aΔx

v² = (2.0 m/s)² + 2 (0.50 m/s²) (10.0 m)

v = 3.7 m/s

Calculate the pressure exerted on a level ground by a man whose mass is 75kg and the area of both his feet is 280 cm2. Give your answer in Pascal (Pa)

Answers

Given:-

Mass = 75 kg

280 cm² = 280/10000 m² = 28/1000 m²

To be calculated:-

Calculate the pressure exerted on a level ground.

Formula used:-

Pressure = Force/Area

Solution:-

First of all,

We have to find out Force ;

Force = m × g

Force = 75 kg × 9.8 m/s²

Force = 735 kg.m/s² [ 1 N = kg.m/s² ]

Force = 735 N

Now,

Pressure = Force/Area

Pressure = 735 / 28/1000

Pressure = 735 × 1000 / 28

Pressure = 735000 / 28

Pressure = 26,250 Pascal

The modern standard of length is 1 m and the speed of light is approximately 2.99792 x 10^8 m/s. Find the time change in t for light to cover 1 m at the given speed.​

Answers

Explanation:

Distance = rate × time

1 m = (2.99792×10⁸ m/s) t

t = 3.33565×10⁻⁹ s

Light is the fastest thing in the universe. The speed of light is 2.99792 x 10⁸ m/s . The time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

What is speed?

Speed is a physical quantity that means the distance in meter covered by a moving body in one second.  The speed of light is  2.99792 x 10⁸ m/s. Light from sun only takes 8 min to travel to the earth surface.

The speed of a moving particle or wave is mathematically the ratio of distance and time. Thus time of travel can be found out from the distance and speed.

It is given that the distance travelled by light is 1 m and its speed is 2.99792 x 10⁸ m/s. Thus the time taken to  travel is calculated as follows:

Time = distance/speed

         = 1 m/ (2.99792 x 10⁸ m/s)

         = 3.39  x 10⁻⁹s

Therefore, the time that light takes to cover a distance of 1 meter is just 3.39  x 10⁻⁹seconds.

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